Answer:
a) 21%
b) 45.5%
c) 26.4%
Step-by-step explanation:
Given the supplied information, a table of probabilities can be constructed. (See the attachment.) The numbers across the bottom reflect the given ratios of customers selecting the different gas types. The numbers in the cells are those bottom numbers multiplied by the percentage that fill the tank (or not). The numbers on the right are the sums of the numbers in each row.
a) The top center cell in the table answers this question. It it the product ...
p(plus)×p(fill | plus) = 0.35×0.60 = 0.21 = 21%
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b) The sum on the right answers this question:
p(fill) = 45.5%
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c) The ratio of the first column number (12%) to the row sum for Fill (45.5%) answers this question:
p(regular | fill) = 12%/45.5% ≈ 26.4%
Answer: Angle r is 60
Angle d is 36
Angle f is 123
Explanation: I took all the given angles and found the other angles. Brainliest?
Answer:
5 (x-2) (x²+2x+4)
Step-by-step explanation:
Stating with 5x³ - 40, the want to simplify the x part by extracting the common factor, so
5x³ - 40 = 5(x³-8)
Now to factor x³-8, we can rewrite it in the format x³-2³, right?
And there's a formula to obtain x³-y³, which is the Difference of Cubes formula that goes like this: x³-y³= (x-y)(x²+xy+y²)
So, we apply this formula replacing the y with our value of 2:
x³-2³= (x-2)(x²+2x+2²) = (x-2)(x²+2x+4)
So, overall, we have 5x³ - 40 = 5 (x-2) (x²+2x+4)
Answer:
So if you're having difficulty visualizing the differences, you can rewrite them so they all have the same denominator
7/12 = 35/60
1/2 = 30/60
2/3 = 40/60
4/10 = 24/60
1/6 = 10/60
So now it's easier to see how they compare to each other.
10/60, 24/60, 30/60, 35/60, 40/60
And then simplify them or just refer to what they were before
1/6, 4/10, 1/2, 7/12, 2/3
I hope this helps!
